{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[Sebastian Raschka](http://www.sebastianraschka.com)\n",
    "\n",
    "[back](https://github.com/rasbt/matplotlib-gallery) to the `matplotlib-gallery` at [https://github.com/rasbt/matplotlib-gallery](https://github.com/rasbt/matplotlib-gallery)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%load_ext watermark"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Last updated: 21/09/2014 \n",
      "\n",
      "CPython 3.4.1\n",
      "IPython 2.2.0\n",
      "\n",
      "matplotlib 1.4.0\n",
      "numpy 1.8.2\n"
     ]
    }
   ],
   "source": [
    "%watermark -u -v -d -p matplotlib,numpy"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<font size=\"1.5em\">[More info](http://nbviewer.ipython.org/github/rasbt/python_reference/blob/master/ipython_magic/watermark.ipynb) about the `%watermark` extension</font>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Scatter plots in matplotlib"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Sections"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- [Basic scatter plot](#Basic-scatter-plot)\n",
    "- [Scatter plot with labels](#Scatter-plot-with-labels)\n",
    "- [Scatter plot of 2 classes with decision boundary](#Scatter-plot-of-2-classes-with-decision-boundary)\n",
    "- [Increasing point size with distance from the origin](#Increasing-point-size-with-distance-from-the-origin)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Basic scatter plot"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[[back to top](#Sections)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAe8AAAGJCAYAAACjJLuKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nmfp/Zc76AnSVUH0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1060d9ad0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "# Generating a Gaussion dataset:\n",
    "# creating random vectors from the multivariate normal distribution \n",
    "# given mean and covariance \n",
    "mu_vec1 = np.array([0,0])\n",
    "cov_mat1 = np.array([[2,0],[0,2]])\n",
    "\n",
    "x1_samples = np.random.multivariate_normal(mu_vec1, cov_mat1, 100)\n",
    "x2_samples = np.random.multivariate_normal(mu_vec1+0.2, cov_mat1+0.2, 100)\n",
    "x3_samples = np.random.multivariate_normal(mu_vec1+0.4, cov_mat1+0.4, 100)\n",
    "\n",
    "# x1_samples.shape -> (100, 2), 100 rows, 2 columns\n",
    "\n",
    "plt.figure(figsize=(8,6))\n",
    "    \n",
    "plt.scatter(x1_samples[:,0], x1_samples[:,1], marker='x', \n",
    "            color='blue', alpha=0.7, label='x1 samples')\n",
    "plt.scatter(x2_samples[:,0], x1_samples[:,1], marker='o', \n",
    "            color='green', alpha=0.7, label='x2 samples')\n",
    "plt.scatter(x3_samples[:,0], x1_samples[:,1], marker='^', \n",
    "            color='red', alpha=0.7, label='x3 samples')\n",
    "plt.title('Basic scatter plot')\n",
    "plt.ylabel('variable X')\n",
    "plt.xlabel('Variable Y')\n",
    "plt.legend(loc='upper right')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Scatter plot with labels"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[[back to top](#Sections)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeYAAAE4CAYAAACOp1CQAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nf8IrwuDdPi9yAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x105372a58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "x_coords = [0.13, 0.22, 0.39, 0.59, 0.68, 0.74, 0.93]\n",
    "y_coords = [0.75, 0.34, 0.44, 0.52, 0.80, 0.25, 0.55]\n",
    "\n",
    "fig = plt.figure(figsize=(8,5))\n",
    "plt.scatter(x_coords, y_coords, marker='s', s=50)\n",
    "\n",
    "for x, y in zip(x_coords, y_coords):\n",
    "    plt.annotate(\n",
    "        '(%s, %s)' %(x, y), \n",
    "        xy=(x, y), \n",
    "        xytext=(0, -10),\n",
    "        textcoords='offset points', \n",
    "        ha='center', \n",
    "        va='top')\n",
    "\n",
    "plt.xlim([0,1])\n",
    "plt.ylim([0,1])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Scatter plot of 2 classes with decision boundary"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[[back to top](#Sections)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAbcAAAHBCAYAAADq7PU3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nhBBCCCGEEEIIISaX/w922+XJOr0+3AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1060c85d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 2-category classification with random 2D-sample data \n",
    "# from a multivariate normal distribution \n",
    "\n",
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "\n",
    "def decision_boundary(x_1):\n",
    "    \"\"\" Calculates the x_2 value for plotting the decision boundary.\"\"\"\n",
    "    return 4 - np.sqrt(-x_1**2 + 4*x_1 + 6 + np.log(16))\n",
    "\n",
    "# Generating a Gaussion dataset:\n",
    "# creating random vectors from the multivariate normal distribution \n",
    "# given mean and covariance \n",
    "mu_vec1 = np.array([0,0])\n",
    "cov_mat1 = np.array([[2,0],[0,2]])\n",
    "x1_samples = np.random.multivariate_normal(mu_vec1, cov_mat1, 100)\n",
    "mu_vec1 = mu_vec1.reshape(1,2).T # to 1-col vector\n",
    "\n",
    "mu_vec2 = np.array([1,2])\n",
    "cov_mat2 = np.array([[1,0],[0,1]])\n",
    "x2_samples = np.random.multivariate_normal(mu_vec2, cov_mat2, 100)\n",
    "mu_vec2 = mu_vec2.reshape(1,2).T # to 1-col vector\n",
    "\n",
    "# Main scatter plot and plot annotation\n",
    "f, ax = plt.subplots(figsize=(7, 7))\n",
    "ax.scatter(x1_samples[:,0], x1_samples[:,1], marker='o', color='green', s=40, alpha=0.5)\n",
    "ax.scatter(x2_samples[:,0], x2_samples[:,1], marker='^', color='blue', s=40, alpha=0.5)\n",
    "plt.legend(['Class1 (w1)', 'Class2 (w2)'], loc='upper right') \n",
    "plt.title('Densities of 2 classes with 25 bivariate random patterns each')\n",
    "plt.ylabel('x2')\n",
    "plt.xlabel('x1')\n",
    "ftext = 'p(x|w1) ~ N(mu1=(0,0)^t, cov1=I)\\np(x|w2) ~ N(mu2=(1,1)^t, cov2=I)'\n",
    "plt.figtext(.15,.8, ftext, fontsize=11, ha='left')\n",
    "\n",
    "# Adding decision boundary to plot\n",
    "x_1 = np.arange(-5, 5, 0.1)\n",
    "bound = decision_boundary(x_1)\n",
    "plt.plot(x_1, bound, 'r--', lw=3)\n",
    "\n",
    "x_vec = np.linspace(*ax.get_xlim())\n",
    "x_1 = np.arange(0, 100, 0.05)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Increasing point size with distance from the origin"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[[back to top](#Sections)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAFwCAYAAABgsqjWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nJoQQQjhACZgQQgjhACVgQgghhAP/D+3jpbyAyfesAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10679f550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "fig = plt.figure(figsize=(8,6))\n",
    "\n",
    "# Generating a Gaussion dataset:\n",
    "# creating random vectors from the multivariate normal distribution \n",
    "# given mean and covariance \n",
    "mu_vec1 = np.array([0,0])\n",
    "cov_mat1 = np.array([[1,0],[0,1]])\n",
    "X = np.random.multivariate_normal(mu_vec1, cov_mat1, 500)\n",
    "\n",
    "R = X**2\n",
    "R_sum = R.sum(axis=1)\n",
    "plt.scatter(X[:, 0], X[:, 1], \n",
    "            color='gray', \n",
    "            marker='o', \n",
    "            s=32. * R_sum,\n",
    "            edgecolor='black',\n",
    "            alpha=0.5)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.4.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
